Wolfram Research

Mathematica MathWorld Wolfram Science More »

The Arithmetic-Geometric Mean Inequality (I)


	The arithmetic-geometric mean inequality: , for . The figure shows that , therefore .


	Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa

Reference: D. Schattschneider, "Proof without Words: The Arithmetic Mean-Geometric Mean Inequality," Mathematics Magazine, 59(1), 1986 p. 11.

Arithmetic Mean (Wolfram MathWorld)

Geometric Mean (Wolfram MathWorld)

"The Arithmetic-Geometric Mean Inequality (I)" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheArithmeticGeometricMeanInequalityI/

Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Related Topics

Browse all topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

Powered by Wolfram Mathematica

Give us your feedback

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

© 2009 Wolfram Demonstrations Project & Contributors

Wolfram Research

Site Index

RSS

Atom

Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+